Chapter 11, Problem 11SGR

To determine

To find the value of $m\angle 2$ .

Answer to Problem 11SGR

  $m\angle 2=112°$

Explanation of Solution

Given information:

There are two parallel lines, ‘m’ and ‘n’, that is cut by a transversal ‘r’ and $m\angle 4=112°$ .

Formula used:

Vertically opposite angles, to calculate the measure of angles.

Calculation:

The figure given in the questions consists of two parallel lines, ‘m’ and ‘n’ that is cut by a transversal ‘r’. In this case, it is observed that $m\angle 4$ and $m\angle 2$ are vertically opposite angles. This can be said since the lie of the same line, ‘m’ and are separated by the transversal ‘r’. In such a case, they lie on opposite sides and are equal in measure.

Hence, it can be said that $m\angle 4=m\angle 2=112°$ .